75/56 as a decimal and mixed number expansion provides the detailed information about what is 75/56 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
75/56 as a Decimal Expansion
75/56 = 1.3393
Hence,
75/56 as a decimal equals to 1.3393
where,
75/56 is a given fraction,
The decimal expansion of 75/56 is 1.3393
75/56 as a Mixed Number
75/56 = (56 + 19)/56
= 56/56 + 19/56
= 1 + 19/56
= 1 19/56
75/56 = 1 19/56
Hence,
75/56 as a mixed number is 1 19/56
where,
75/56 is a given fraction,
1 19/56 is the mixed number representation of 75/56.
The below work with steps provide the detailed information about how to convert fraction 75/56 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 75/56
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 75/56.
step 2 The numerator is greater than the denominator of the fraction 75/56, so write the given fraction in the expression form in terms of denominator as like the below:
= 75/56
= 56 + 19/56
step 3 Make the above expression as individual fractions:
= 56/56 + 19/56
step 4 Simplify the above expression:
= 1 x 56/56 + 19/56
= 1 + 19/56
1 + 19/56 can be written as a mixed number 1 19/56.
step 5 Find the decimal equivalent for the fractional part 19/56 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 19/56. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 19/56.
= 1 + (19/56 x 10/10)
step 6 Simplify the above expression further:
= 1 + (190/56 x 1/10)
= 1 + (168 + 22/56 x 1/10)
= 1 + [(168/56 + 22/56 ) x 1/10]
= 1 + [(3 + 22/56) x 1/10]
step 7 Repeat the step 5 to find the decimal equivalent for the fraction 22/56 in the above expression:
= 1 + [(3 + 22/56) x 1/10]
= 1 + [(3 + 0.39) x 1/10]
= 1 + (3.39 x 1/10)
= 1 + 3.39/10
= 1 + 0.339
step 8 Find the sum of above expression:
= 1 + 0.339
= 1.339
75/56 = 1.339
Hence,
75/56 as a decimal is 1.339
75/56 as a mixed number is 1 19/56